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A convex lens of refractive index 1.5 and focal length 18 cm in air is immersed in water. The change in focal length of the lens will be ________ cm
(Given refractive index of water =\frac{4}{3})

Option: 1

54


Option: 2

-


Option: 3

-


Option: 4

-


Answers (1)

best_answer

\begin{aligned} & \frac{1}{\mathrm{f}}=(\mu-1)\left(\frac{1}{\mathrm{R}_1}-\frac{1}{\mathrm{R}_2}\right) \\ & \frac{1}{18}=(1.5-1) \frac{2}{\mathrm{R}} \ldots(1) \\ & \frac{1}{\mathrm{f}}=\left(\frac{1.5}{\frac{4}{3}}-1\right) \frac{2}{\mathrm{R}} \ldots . .(2) \end{aligned}
Div eq.1 by eq. 2

\begin{aligned} & \frac{\mathrm{f}}{18}=\frac{0.5 \times 8}{1} \\ & \mathrm{f}=72 \mathrm{~cm} \\ \end{aligned}

\begin{aligned} & \text { change }=72-18 \\ & =54 \end{aligned}
 

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avinash.dongre

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